On preservation under univariate weighted distributions

On preservation under univariate weighted distributions

We derive some new results for preservation of various stochastic orders and aging classes under weighted distributions. The corresponding reversed preservation properties as straightforward conclusions of the obtained results for the direct preservation properties, are developed. Damage model of Ra...

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Veröffentlicht in:Applications of mathematics (Prague) 2015-08, Vol.60 (4), p.453-467
Hauptverfasser: Izadkhah, Salman, Amini, Mohammad, Borzadaran, Gholam Reza Mohtashami
Format: Artikel
Sprache:eng
Schlagworte:
Aging
Analysis
Applications of Mathematics
Applied mathematics
Classical and Continuum Physics
Damage assessment
Hazards
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematical models
Mathematics
Mathematics and Statistics
Optimization
Preservation
Random variables
Stochasticity
Studies
Theorems
Theoretical
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Beschreibung
Zusammenfassung:We derive some new results for preservation of various stochastic orders and aging classes under weighted distributions. The corresponding reversed preservation properties as straightforward conclusions of the obtained results for the direct preservation properties, are developed. Damage model of Rao, residual lifetime distribution, proportional hazards and proportional reversed hazards models are discussed as special weighted distributions to try some of our results.
ISSN:0862-7940
1572-9109
DOI:10.1007/s10492-015-0105-7